You should shift your normal y=x graph down 1 space
The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.
- <em>Let the current weight of Euclid = x</em>
- <em>Let the current weight of Pythagoras = T</em>
- <em>Let the January weight of Pythagoras = y</em>
The expression that represents the given scenario is written as;
- when Pythagoras lost 13 pounds: T = y - 13
- when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2x
when Pythagoras weight is 1/4 pound less than weight in January:
T + 1.2x + 0.25 = y
y- 13 + 1.2x + 0.25 = y
1.2x - 12.75 = 0
Euclid's weight is calculated as follows;
1.2x = 12.75
The weight of Riemann is calculated as follows;
Learn more about word problem to algebra here: brainly.com/question/21405634
If you want to check if (1,2) is a solution to the system, you have to plug the x and y values back into both equations. If they work for one equation, but not the other, than the coordinates are not a solution to the system.
3(1) - 4(2) = -5
3 - 8 = -5
-5 = -5
2 = 4(1) - 2
2 = 4 - 2
2 = 2
Since both of these checks are true, then (1,2) is a solution to the system.